Question

If the graph of the following parabola is shifted four units right and three units down, what is the resulting equation in vertex form? x=4y^2

Answer 1

(x-4)=4(y+3)^2

Explanation:

Answer 2

The resulting parabola in vertex form is:

`(x - 4) = 4( {y + 3)}^(2)`

EXPLANATION

The original equation of the parabola is given as

`x = 4 {y}^(2)`

This parabola has its vertex at the origin.

If the graph of this parabola is shifted four units right and three units down, then the new equation is:

`(x - 4) = 4( {y + 3)}^(2)`

This the equation of the transformed parabola.

Its vertex is now at (4,-3).